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<body>
<div class="iris_headline">IRIS Toolbox Reference Manual</div>




<h2 id="model/fisher">fisher</h2>
<div class="headline">Approximate Fisher information matrix in frequency domain</div>

<h4 id="syntax">Syntax</h4>
<pre><code>[F,FF,Delta,Freq] = fisher(M,NPer,PList,...)</code></pre>
<h4 id="input-arguments">Input arguments</h4>
<ul>
<li><p><code>M</code> [ model ] - Solved model object.</p></li>
<li><p><code>NPer</code> [ numeric ] - Length of the hypothetical range for which the Fisher information will be computed.</p></li>
<li><p><code>PList</code> [ cellstr ] - List of parameters with respect to which the likelihood function will be differentiated.</p></li>
</ul>
<h4 id="output-arguments">Output arguments</h4>
<ul>
<li><p><code>F</code> [ numeric ] - Approximation of the Fisher information matrix.</p></li>
<li><p><code>FF</code> [ numeric ] - Contributions of individual frequencies to the total Fisher information matrix.</p></li>
<li><p><code>Delta</code> [ numeric ] - Kronecker delta by which the contributions in <code>Fi</code> need to be multiplied to sum up to <code>F</code>.</p></li>
<li><p><code>Freq</code> [ numeric ] - Vector of frequencies at which the Fisher information matrix is evaluated.</p></li>
</ul>
<h4 id="options">Options</h4>
<ul>
<li><p><code>'chkSstate='</code> [ <code>true</code> | <em><code>false</code></em> | cell ] - Check steady state in each iteration; works only in non-linear models.</p></li>
<li><p><code>'deviation='</code> [ <em><code>true</code></em> | <code>false</code> ] - Exclude the steady state effect at zero frequency.</p></li>
<li><p><code>'exclude='</code> [ char | cellstr | <em>empty</em> ] - List of measurement variables that will be excluded from the likelihood function.</p></li>
<li><p><code>'percent='</code> [ <code>true</code> | <em><code>false</code></em> ] - Report the overall Fisher matrix <code>F</code> as Hessian w.r.t. the log of variables; the interpretation for this is that the Fisher matrix describes the changes in the log-likelihood function in reponse to percent, not absolute, changes in parameters.</p></li>
<li><p><code>'progress='</code> [ <code>true</code> | <em><code>false</code></em> ] - Display progress bar in the command window.</p></li>
<li><p><code>'solve='</code> [ <em><code>true</code></em> | <code>false</code> | cellstr ] - Re-compute solution in each differentiation step; you can specify a cell array with options for the <code>solve</code> function.</p></li>
<li><p><code>'sstate='</code> [ <code>true</code> | <em><code>false</code></em> | cell ] - Re-compute steady state in each differentiation step; if the model is non-linear, you can pass in a cell array with opt used in the <code>sstate</code> function.</p></li>
</ul>
<h4 id="description">Description</h4>
<h4 id="example">Example</h4>

</body>
<div class="copyright">IRIS Toolbox. Copyright &copy; 2007-2015 IRIS Solutions Team.</div>
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